Home
Class 7
MATHS
Triangles A B C and P Q R are both isosc...

Triangles `A B C` and `P Q R` are both isosceles with `A B=A C` and `P Q=P R` respectively. If also, `A B=P Q\ a n d\ B C=Q R ,` are the two triangles congruent? Which condition do you use? If`/_\ B=\ 50^0,` what is the measure of`/_R ?`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • ALGEBRAIC EXPRESSIONS

    RD SHARMA ENGLISH|Exercise All Questions|137 Videos
  • CONSTRUCTIONS

    RD SHARMA ENGLISH|Exercise All Questions|36 Videos

Similar Questions

Explore conceptually related problems

In Fig. 4.34, A ,\ B and C are points on O P ,\ O Q and O R respectively such that A B P Q and B C Q R . Show that A C P R . (FIGURE)

In a triangle, P ,\ Q\ a n d\ R are the mid-points of sides B C ,\ C A\ a n d\ A B respectively. If A C=21\ c m ,\ B C=29 c m\ a n d\ A B=30 c m , find the perimeter of the quadrilateral A R P Q

A B C D is a rhombus and P ,\ Q ,\ R ,\ S are the mid-points of A B ,\ B C ,\ C D ,\ D A respectively. Prove that P Q R S is a rectangle.

In a triangle A B C , let P and Q be points on AB and AC respectively such that P Q || B C . Prove that the median A D bisects P Q .

If Delta A B C ~ Delta P Q R such that a r( A B C)=4a r( P Q R)dot If B C=12 c m , then Q R=

In Figure, X\ a n d\ Y are the mid-points of A C\ a n d\ A B respectively, Q P || B C\ a n d\ C Y Q\ a n d\ B X P are straight lines. Prove that a r\ (\ A B P)=\ a r\ (\ A C Q) .

P and Q are any two points lying on the sides DC and AD respectively of a parallelogram ABCD . Show that a r\ (A P B)\ =\ a r\ (B Q C) .

In Figure, A B C D\ a n d\ P Q R C are rectangles and Q is the mid-point of A C . Prove that D P=P C (ii) P R=1/2\ A C

In triangle A B C ,\ P\ a n d\ Q are respectively the mid-points of A B\ a n d\ B C and R is the mid-point of A P . Prove that: a r\ ( triangle P B Q)=\ a r\ (triangle \ A R C)

In triangle A B C ,\ P\ a n d\ Q are respectively the mid-points of A B\ a n d\ B C and R is the mid-point of A P . Prove that: a r\ (triangle \ P R Q)=1/2a r\ (triangle \ A R C) .

RD SHARMA ENGLISH-CONGRUENCE-All Questions
  1. In Fig,16, A D\ =\ D C\ a n d\ A B\ =\ B C (i) IsDeltaA B D~=DeltaC ...

    Text Solution

    |

  2. InDeltaP Q R~=DeltaE F D , Which side ofDeltaP Q R equals E D ? Whic...

    Text Solution

    |

  3. Triangles A B C and P Q R are both isosceles with A B=A C and P Q=P R ...

    Text Solution

    |

  4. A B C\ a n d\ D B C are both isosceles triangles on a common base B...

    Text Solution

    |

  5. Delta\ A B C\ a n d\ Delta\ A B D are on a common base A B ,\ a n d\ A...

    Text Solution

    |

  6. In Fig.19,Delta\ A B C is isosceles with A B=A C ,\ D is the mid-point...

    Text Solution

    |

  7. In figure.20,DeltaA B C is isosceles with A B=A Cdot State ifDeltaA B ...

    Text Solution

    |

  8. Triangles A B C\ a n d\ D B C\ have side B C common, A B=B D\ a n d\ ...

    Text Solution

    |

  9. In each of the following pairs of triangles the measure of some par...

    Text Solution

    |

  10. Which of the following pairs of triangles are congruent? A B C : ...

    Text Solution

    |

  11. Show that in an isosceles triangle, angles opposite to equal sides ...

    Text Solution

    |

  12. Show that the bisector of vertical angle of an isosceles triangle b...

    Text Solution

    |

  13. In A B C ,\ /A=100^0\ a n d\ A B=A Cdot Find /B\ a n d\ /Cdot

    Text Solution

    |

  14. In Fig.26, A B=A C\ a n d\ /A C D=120^0dot Find /Adot

    Text Solution

    |

  15. Prove that measure of each of an equilateral triangle is 60^0

    Text Solution

    |

  16. Line-segments A B\ a n d\ C D bisect each other at Odot\ A C\ a n d\ B...

    Text Solution

    |

  17. Delta\ A B C is isosceles with A B=A Cdot Line segment A D bisects/A a...

    Text Solution

    |

  18. In Fig.31, A B=A D\ a n d\ /B A C=/D A C State in symbolic form the ...

    Text Solution

    |

  19. In figure, A B|| D C\ a n d\ A B=D Cdot (i)IsDeltaA C D~=DeltaC A B ?...

    Text Solution

    |

  20. Fig.33, the measure of some parts are indicated along side. By apply...

    Text Solution

    |